doiSerbia

δでるた-Fibonacci numbers

Wituła Roman (Institute of Mathematics, Silesian University of Technology, Gliwice, Poland)
Słota Damian (Institute of Mathematics, Silesian University of Technology, Gliwice, Poland)

The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here δでるた-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between δでるた-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.

Keywords: Fibonacci numbers, Lucas numbers